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Bo, Fang-zhen; Ao, Ji-jun

The finite spectrum of fourth-order boundary value problems with transmission conditions. (English) Zbl 1472.34035

Abstr. Appl. Anal. 2014, Article ID 175489, 7 p. (2014).
Summary: A class of fourth-order boundary value problems with transmission conditions are investigated. By constructing we prove that these class of fourth order problems consist of finite number of eigenvalues. Further, we show that the number of eigenvalues depend on the order of the equation, partition of the domain interval, and the boundary conditions (including the transmission conditions) given.

Cited in 4 Documents

MSC:

34B09 Boundary eigenvalue problems for ordinary differential equations
34L15 Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators

Keywords:

fourth-order boundary value problems; finite number of eigenvalues
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\textit{F.-z. Bo} and \textit{J.-j. Ao}, Abstr. Appl. Anal. 2014, Article ID 175489, 7 p. (2014; Zbl 1472.34035)
Full Text: DOI

References:

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